What is the height of a cone with a slant height of 16 inches and a radius of 6 inches? Round your answer to the nearest whole number.

Answers

Answer 1

Answer:

14.8 inches

Step-by-step explanation:

Given that:

Slant height, l = 16 inches

Radius, r =. 6 inches

Using the relation :

h² + r² = l²

h² + 6² = 16²

h² = 16² - 6²

h² = 256 - 36

h² = 220

h = sqrt(220)

h = 14.832

h = 14.8 inches


Related Questions

The price of a suit decreased from $280 to $182 during a clearance sale.

What is the percent of decrease in the price?

Answers

Answer:

12%

Step-by-step explanation:

Answer:

%35

Step-by-step explanation:

You would take 182 and divide it by 280. That equals .65, you would take the 1 and subtract your answer to get .35 or %35.

Find the measure of the indicated angle to the nearest degree

Answers

Answer:

32°

Step-by-step explanation:

use this formula :

Now you want to get the angle be x, so the opposite side is 28 and hypotenuse is 53. Putting in the formula we get:

Sin(x) = 28/53

Sin(x)= 0.5283018868

So to find x just do Sin^-1

x = Sin^-1 (0.5283018868)

you get 31.8907918, ok so we just want the nearest degree and if we do that we get 32˚

if you put them into your calculator you will get 32˚ as your answer

Distribute and evaluating
(X + 6) (x - 3)

Answers

Answer:

x^2+3x-18

Step-by-step explanation: hoped I helped

Answer: [tex]x^{2} +3x-18[/tex]

Step-by-step explanation:

First, let's take our given (x+6)(x-3)

Now distribute

[tex]x^{2} -3x+6x-18\\combine\\x^{2} +3x-18[/tex]

if 36/5x=3/5 what is x​

Answers

Answer:

x = 12

Step-by-step explanation:

Given

[tex]\frac{36}{5x}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

15x = 180 ( divide both sides by 15 )

x = 12

Find the the value of x
Please help giving branliests to first answer

Answers

Answer:

I guess the answer is x=0.2/45

COMMMMMMEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

35 degrees

Step-by-step explanation:

since the total has to be 180

100 + 45 = 145

180 - 145 = 35 degrees

Answer:

35 degrees

Step-by-step explanation:

A triangle is 180 degrees and 45 and 100 is already there.

So... 180-45-100=35

That is how you get 35 degrees

Hope this helps =]

HELP !!!!!!!!!!! find l

Answers

Answer:

Pythagorean Theorem: a^2 + b^2 = c^2

6^2 + 15^2 = c^2

36 + 225 = 261

So, the answer is 261

Let me know if this helps!

help me with this. will mark as brainliest

Answers

Half of R is shown as 20 degrees, so the other half of r is also 20 degrees.

A tangent line forms a right angle, so the tangent at P is 90 degrees.

X would be 180 - 90 - 20 = 70 degrees.

X = 70 degrees.

A shop buys pairs of trainers for £20 each. They sell them to make a 30% profit on each pair. What is the selling price of the trainers

Answers

Answer:

60 dollars i think

Step-by-step explanation:

who ever helps me ill help u with one of ur questions
John, Bill, and George are all in a field throwing a football. The three of them form a triangle and throw to pass to each other. Bill notices that he is 22 feet from John and 27 feet from George. He then sees that the uses his arms to find the angle formed between John and Georges position from where he is, it is 60 degrees. What is the distance between John and George rounded to the nearest foot?

Answers

Answer:

25 feet

Step-by-step explanation:

I have created a visual so its easier to make an equation

Because we are given two sides and its gamma we are going to need to solve for the missing side length using law of cosines

the formula for law of cosines is

[tex]c = \sqrt{a^2+b^2-2ab*cosy}[/tex]

where a and b = side lengths

c= missing side length and y = gamma

with the given information all we have to do is plug in the values

[tex]c=\sqrt{22^2+27^2-(22)(27)cos(60)} \\22^2=484\\27^2=749\\729+484=1213\\\\2*22*27=1188\\1188*cos(60)=594\\1188-594=619\\\sqrt{619} =24.87971016[/tex]

Finally we round to the nearest foot 25

so we can conclude that the distance between john and george is 25 feet

Pls help me I only have 2 minutes left winner gets brainliest
In what year did the 20 years of peace that the Rwandan government was able to maintain begin?
1962

1972

1982

1992

Answers

Answer: B

Step-by-step explanation:

The height in meters of a toy rocket at t seconds can be found by the
function h(t) = -5t2 + 40t + 1.2 Find the height of the toy rocket 4 seconds
after it is launched.

Answers

Answer:   81.2

Step-by-step explanation:

h(t) = -5t² + 40t + 1.2

h(4) = -5(4)² + 40(4) + 1.2                   We plug 4 seconds as t, and solve h(4)

h(4) = -80 + 160 + 1.2

h(4) = 80 + 1.2

h(4) = 81.2



Please help.........

Answers

Answer:

Exponential growth

Step-by-step explanation:

Answer:

it shows growth

...

Hope this will help you

Step-by-step explanation:

..

[Help asap, I will mark brainliest] Complete the informal argument below to prove congruent angle relationships when parallel lines are cut by a transversal:

First drop down answers: corresponding, vertical, supplementary.
Second drop down answers: supplementary, vertical, corresponding.
Third drop down answers: corresponding, alternate interior, alternate exterior.

Answers

Answer:

First: vertical

Second: corresponding

Third: alternate interior

What is the value of 80-5(x^2-y)+y when x=4 and y=6

Answers

Answer:h

Step-by-step explanation:

Which organisms is an example of a producer?

Answers

Answer: Leaves

Step-by-step explanation:

A water tank holds 657 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 876 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the two tanks be the same?

Answers

Sometimes setting up the equation is the hardest part. Starting gallons minus (leaking gallons times number of leaking weeks) equal to the other tank, same setup.

657 - 4w = 876 - 7w
3w = 219
w = 73

Checking the math:

657 - 4(73) = 365
876 - 7(73) = 365

73 weeks

Which word has a negative connotation?
A. economical
B. expensive
C. costly
D. cheap

Answers

Answer:

The answer is D cheap.

Step-by-step explanation:

Hope this helped Mark BRAINLEST!!

Answer:

D. cheap

Step-by-step explanation:

When you think of cheap its kind of more like you can't afford something better, opposed to inexpensive where it just means "low cost".

The perimeter of an equilateral triangle is 11 inches more than the perimeter of a square, and the side of the triangle is 6 inches longer than the side of the square. find the side of the triangle.

Answers

Answer:

13 inches

Step-by-step explanation:

Let P(t) and P(s) be the perimeters of the equilateral triangle and square respectively. Similarly, t and s be the side lengths of equilateral triangle and square respectively.

According to the first condition :

(Perimeter of an equilateral triangle is 11 inches more than the perimeter of a square)

[tex] \implies P(t) = P(s) + 11[/tex]

[tex] \implies 3t = 4s + 11....(1)[/tex]

According to the second condition :

(The side of the triangle is 6 inches longer than the side of the square)

[tex] \implies t = s + 6....(2)[/tex]

From equations (1) & (2)

3(s + 6) = 4s + 11

3s + 18 = 4s + 11

3s - 4s = 11 - 18

-s = - 7

s = 7 inches

[tex] \because t = s + 6[/tex]

[tex] \because t = 7 + 6[/tex]

[tex] \because t = 13\: inches[/tex]

Thus the side of the triangle is 13 inches long.

Find two integers whose sum is -7 and product is 6

Please help

Answers

Answer: -6, -1

-6 + -1 = -7
-6 x -1 = 6

Calculate the area of a circle with a diameter of 8cm.
Show all your work.

Answers

A≈50.27cm²

Using the formulas

A=πr2

d=2r

Solving forA

A=1

4πd2=1

4·π·82≈50.26548cm²

Answer:

16π cm^2

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^{2}[/tex], r being the radius. The radius is always half of the diameter, so in this case, the radius is 4. [tex]4^{2}[/tex] is just 4 * 4 which is 16. Multiply that by π and you get 16π. Or, approximately 50.27 cm^2

Find the measure of the arc.
A
146°
E
B
MABC = [ ? 1°

Answers

Answer:

i get    mABC = 270°

Step-by-step explanation:

This is fairly straight forward once you the right angle symbol for the arc AC.  Also realizing the 148° for mAB is not needed for this question.  The 148° for mAB would be useful if you wanted to calculate arc mBC.

Remember there are 360° in a circle.  

The arc mAC is 90°

The arc mABC is the rest of the circle.       is the arc from  A to B to C

arc ABC + arc AC is the full circle 360°

     mABC + mAC  = 360°           mAC = 90°

     mABC + 90°  = 360°              - 90° from both sides

     mABC = 360° - 90°

      mABC = 270°

The angle ∠ABC in the given circle will be 270°.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

Angle is very useful to measure any angular rotational motion for example if you have to find out the rotation among the circle then it cannot measure in length parameter such that meter inch so it will be measured as an angle in a unit of degree or radian.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Now since we know that the angle of complete rotation is 360°.

Now ∠ADC + ∠ABC = 360

Given that ∠ADC = 90°

∠ABC = 360° - 90° = 270°

Hence, 270° will be the correct answer.

For more about the angle

brainly.com/question/13954458

#SPJ5

You spin the spinner once.
5
1
4
2
3
What is P(not prime)?
Write your answer as a percentage.

Answers

Answer:  40%

==========================================================

Explanation:

The primes in this list are: {2,3,5}

The value 1 is not prime.

We have 3 primes out of 5 values total, so 3/5 = 0.6 = 60% of the list is prime. That makes 100% - 60% = 40% of values are not prime

This is the probability of getting a non-prime number.

Answer:

40%

Step-by-step explanation:

Prime numbers are whole numbers greater than 1 that only have 2 factors, for example, 2, 3, 5, 7, 11 are all prime numbers

In this data set 2, 3, and 5 are all prime numbers

3 out 5 numbers are prime

so the fraction is  [tex]\frac{3}{5}[/tex]

after you have found the fraction, you can divide it to find the percentage

In this case, when you divide the fraction you get 0.6

to make this a percentage you move the decimal place two spaces to the right. so 60%

60% are the values that are prime so you do this equation

100%-60%=40%

how is a corm different from a bulb?​

Answers

Answer:

Corm and Bulb- Differences. Bulbs are structurally short stems with fleshy leaves or leaf bases. Corms are rounded, underground storage organs consisting of a swollen stem base covered with scale leaves. Bulbs are modified leaves that store nutrients.

Step-by-step explanation:

Please anyone help!!

Answers

Answer:

4

Step-by-step explanation:

Answer:

your answer will be 4

Step-by-step explanation:

hope it helps you

have a great day!!

Hurry I need the answer 500 x 500 +2500

Answers

Answer:

its 252500

Step-by-step explanation:

Answer:

252500

Step-by-step explanation:

The sum of two numbers is 57 and the difference is 5. What are the numbers?
larger number:
smaller number:

Answers

Answer:

25+22

Step-by-step explanation:

When you subtract 27 to 22

Answer:

31 and 26

Step-by-step explanation:

31 + 26 = 57

31 - 26 = 5

Therefore, your answer is 31 and 26

A classroom is arranged with 8 seats in the front row, 10 seats in the middle row, and
12 seats in the back row. The teacher randomly assigns seats to students as they enter the
classroom
What is the probability that the first student who enters the classroom will be assigned a seet
A-2/5
B-2/3
C-4/11
D-4/15

Answers

The answer is c as in cat

A rectangle has vertices located at (–4, 4), (2, 4), (2, –4) and (–4, –4). What is the length of a diagonal of the rectangle?

Answers

Answer:

A diagonal of this rectangle has length 10.

Step-by-step explanation:

The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4).  These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.

Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4).  To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.

Thus, the width of the rectangle is 6 and the length is 8.

Using the Pythagorean Theorem, we find the length of a diagonal as follows:

d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.

A diagonal of this rectangle has length 10.

The Parkview middle school football team will be playing in the state championship the cochairs free tickets that he would be distributing to his 52 football players to give to their friends and family if you would like to give each player at least three tickets how many total tickets Must he have

Answers

Answer: 156

Step-by-step explanation: 52*3=156 tickets

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